Turbulent velocity waves and kinematic dynamo activity

It is demonstrated that a turbulent distribution of small amplitude velocity waves gives rise to kinematic dynamo activity on its own in an infinite medium. As the wave speed increases, the intensity of the waves has to increase in order to support dynamo regeneration. The theory given is statisticallyexact, but in view of the complexity of the resulting equations, the answers presented are for the long-wavelength (i.e. large-scale) magnetic field. In view of the fact that most astrophysical objects apparently contain turbulent wave motions, the present calculation is indicative of the extent to which turbulent dynamo activity may be physically importat in such objects.